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Finding the Fourth Proportional to 178,974.80, 268,231.80 and 137,214.80

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Solution

The fourth proportional to 178,974.80, 268,231.80 and 137,214.80 is: 205,645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,974.80 : 268,231.80 = 137,214.80 : x
  2. Step 2: Convert to fraction form
    178,974.80/268,231.80 = 137,214.80/x
  3. Step 3: Cross multiply
    178,974.80x = 268,231.80 × 137,214.80
  4. Step 4: Simplify right side
    178,974.80x = 36,805,372,790.64
  5. Step 5: Solve for x
    x = 36,805,372,790.64/178,974.80
  6. Step 6: Final answer
    x = 205,645.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.